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Complete the series by filling in the missing number 2, 5, 14, 57, 284, ?

Question

Complete the series by filling in the missing number 2, 5, 14, 57, 284, ?

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Solution

The pattern in this series is that each number is multiplied by the next number in the sequence 1, 2, 3, 4, 5, etc., and then 1 is added.

So,

2 * 2 + 1 = 5 5 * 3 + 1 = 14 14 * 4 + 1 = 57 57 * 5 + 1 = 284

Following this pattern, the next number in the sequence would be:

284 * 6 + 1 = 1705

So, the missing number in the series is 1705.

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